146198400 has 192 divisors, whose sum is σ = 489604080. Its totient is φ = 38338560.

The previous prime is 146198389. The next prime is 146198411. The reversal of 146198400 is 4891641.

It is an interprime number because it is at equal distance from previous prime (146198389) and next prime (146198411).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931122 + ... + 931278.

Almost surely, 2^146198400 is an apocalyptic number.

146198400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244802040).

146198400 is an abundant number, since it is smaller than the sum of its proper divisors (343405680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146198400 is a wasteful number, since it uses less digits than its factorization.

146198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 146198400 is about 12091.2530368031. The cubic root of 146198400 is about 526.8021514030.

The spelling of 146198400 in words is "one hundred forty-six million, one hundred ninety-eight thousand, four hundred".